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New structure #4

@StevellM

Description

@StevellM

New infrastructure:

  • Store only positive definite indivisible integral genera ("reduced" genera);
  • New file name: rank.signature.determinant.level.type.genus_symbol/lattices.txt;
  • Each genus is stored as a folder whose name consists of the canonical symbols at all primes dividing the determinant (require implementation canonical 2-adic symbols).

Plan for the saving/loading:

  • Give the possibility to input parity, rank, determinant or level, to load only parts of the database;
  • When saving a new genus, save the associated reduced genus;
  • When loading a genus, load the associated reduced genus by rescaling all the lattices accordingly.

To be fixed:

  • Remove the parasitic parenthesis in the saving of automorphism_group_order;
  • Update the current database to follow the new infrastructure;
  • Update parsing.jl to follow the new saving/loading scheme.

Features:

  • Iterations
  • Better printing

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